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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 225, Pages 62–90
(Mi znsl3734)
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On applied aspects of studing roots of dispersions equations on the other sheets of the complex plane
G. I. Petrashen, B. M. Kashtan St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
Under a quontitative estimation of interference wave fields by using the methods of the theory of functions, the initial path of integration is deformed on some complex plane $(\zeta)$. As a result of such a deformation the countor $(\lambda)$ may be places on other sheets of the Riemann surface of the plane $(\zeta)$. It forces us to study integrands, in particular, a dispersion equation of the problem on the other sheets of the plane $(\zeta)$. Similar equations are discussed in the case of the problem for a layer being in contact with two elastic half-spaces. Bibl. 3 titles, ill. 9.
Received: 20.10.1995
Citation:
G. I. Petrashen, B. M. Kashtan, “On applied aspects of studing roots of dispersions equations on the other sheets of the complex plane”, Interference waves in layered media. Part 2, Zap. Nauchn. Sem. POMI, 225, POMI, St. Petersburg, 1996, 62–90; J. Math. Sci. (New York), 91:1 (1998), 2584–2600
Linking options:
https://www.mathnet.ru/eng/znsl3734 https://www.mathnet.ru/eng/znsl/v225/p62
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Abstract page: | 134 | Full-text PDF : | 58 |
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